GCD of 696, 708, 50, 305 Calculator

Given Input numbers are 696, 708, 50, 305

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 696, 708, 50, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 708, 50, 305 is 1.

Therefore, GCD of numbers 696, 708, 50, 305 is 1

Given Input Data is 696, 708, 50, 305

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 305 is 5 x 61

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(696, 708) = 41064

GCD(696, 708) = ( 696 x 708 ) / 41064

GCD(696, 708) = 492768 / 41064

GCD(696, 708) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 50

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 50) = 300

GCD(12, 50) = ( 12 x 50 ) / 300

GCD(12, 50) = 600 / 300

GCD(12, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 696, 708, 50, 305 is 1

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• GCD of 528, 949, 55, 850
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1. What is the GCD of 696, 708, 50, 305?

GCD of 696, 708, 50, 305 is 1

2. Where do I get the detailed procedure to find GCD of 696, 708, 50, 305?

You can find a detailed procedure to find GCD of 696, 708, 50, 305 on our page.

3. How to find GCD of 696, 708, 50, 305 on a calculator?

You can find the GCD of 696, 708, 50, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.